A Finite Element Numerical Algorithm for Modelling and Data Fitting in Complex Systems

Numerical modelling methodologies are important by their application to engineering and scientific problems, because there are processes where analytical mathematical expressions cannot be obtained to model them. When the only available information is a set of experimental values for the variables that determine the state of the system, the modelling problem is equivalent to determining the hyper-surface that best fits the data. This paper presents a methodology based on the Galerkin formulation of the finite elements method to obtain representations of relationships that are defined a priori, between a set of variables: y = z(x1, x2,...., xd). These representations are generated from the values of the variables in the experimental data. The approximation, piecewise, is an element of a Sobolev space and has derivatives defined in a general sense into this space. The using of this approach results in the need of inverting a linear system with a structure that allows a fast solver algorithm. The algorithm can be used in a variety of fields, being a multidisciplinary tool. The validity of the methodology is studied considering two real applications: a problem in hydrodynamics and a problem of engineering related to fluids, heat and transport in an energy generation plant. Also a test of the predictive capacity of the methodology is performed using a cross-validation method.

Reuse of Spanish civil war air-raid shelters in Alicante: the R46 Balmis and R31 Seneca shelter

More than a hundred public air-raid shelters were constructed beneath Alicante during the Spanish Civil war. Their architectural uniqueness and humanitarian purpose render these shelters a tangible testament to our recent history. The Alicante Municipal Archives hold reports written by technicians who inspected the shelters in the 1940s, which were subsequently included in the Special Plan for public shelters in 1953. Half a century later, in 2003, information on the air-raid shelters was included in another Special Plan aimed at protecting Alicante’s archaeological heritage. Thanks to the work of the Municipal Heritage Conservation unit (COPHIAM) and the Special Protection Plan for Urban Archaeology (PEPA), the exact or approximate locations were identified for almost 90% of the shelters known to have existed. This paper describes interventions in two of these architectural spaces using advanced museology techniques. The first concerns air-raid shelter R46, located in the Plaza del Dr. Balmis in the city centre. This was built in 1938, and is rectangular with two entrances. The second is air-raid shelter R31, located in the Plaza Séneca.

Tourism potential analysis of the castles of Vinalopó, Spain: an opportunity for social and tourist development of cultural heritage

Within the overall framework of the renewal process of coastal tourist destinations, cultural heritage has frequently been used as a key argument for the introduction and development of strategies for the diversification and differentiation of the traditional tourist product based on sun and sand. This is the situation of the province of Alicante, identified with the Costa Blanca geotourism brand, where there are important economic issues that could contribute to the renewal of this coastal tourist destination. One of the most significant heritage values of this space consists of a series of medieval fortresses located along the axis of the Vinalopó River, which has acted since prehistoric times as a natural route from within the provincial mainland to the coast. It is precisely the argument of this historical, territorial and landscape content that has been used repeatedly in recent years to develop initiatives aimed at the creation of a tourist product, currently inexistent, based on the route of the castles of Vinalopó. This communication aims to analyse the degree of tourism potential of the fortresses located in the towns of Biar, Banyeres de Mariola, Sax, Villena, Novelda, Elda, Petrer and Elche, which constitute the core of municipalities where these medieval fortresses are located, finally pointing out some proposals for the creation of a heritage tourism product.

Rehabilitating, repairing and restoring against demolishing, tearing down and destroying: the recovery of the military fort for the Santa Pola town museum

This communication develops the process of interventions of the Renaissance fortress of a new plant built in 1554–57 in Santa Pola. It is one of the earliest examples built with reference to military architecture theoretical treaties (XV–XVI) and best preserved. The study runs its own story from its initial military use, through the use of civil equipment until the final cultural and Museum Center. First, the project of Italian origin is examined and its use as barracks for troops for a duration of three centuries (1557–1850), pointing out the architectural constants of war machinery in a defense position and its origin as a rainwater collector and cistern: a perfect square with two bastions in which a plan of the uprising is preserved (1778). Secondly, we study the changes in the mentioned architecture throughout a century and a half (1850–1990) after its change of ownership (from the state to the municipality), and as a result of the new use as a city hall and public endowment: a market and health and leisure centre, which meant the demolition of defensive elements and the opening up to the outside of the inner parade ground. And thirdly, the new transfer of the municipal offices brings in the beginning of a project of transformations (1990–2015) that retrieves the demolished elements at the same time as it assigns the entire fort for a cultural centre: exhibition, research and history museum, promoting the identity between the citizens and the building which stands in the foundations of their city. The conclusions take us through an interesting route that goes from the approach of defensive tactics, its use as administrative headquarters to the current cultural policy of preservation. In addition, all the known plans of the fort are recovered (of military, civil and cultural use), some unpublished, as well as the project of the North wing that has guided the last operation and which has been set as a pattern of reference.

Delft, Netherlands, ca. 1695 (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: Delfi Batavorum vernacule Delft, F. de Wit excudit. It was published ca. 1695. Scale [ca. 1:3,800]. Covers a portion of Delft, Netherlands. Map in Latin and Dutch. The image inside the map neatline is georeferenced to the surface of the earth and fit to the Dutch National Grid: RD (Rijksdriehoekstelsel) GCS Amersfoort (Bessel 1841) coordinate system. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as roads, drainage, built-up areas and selected buildings, fortifications, ground cover, and more. Includes also index.This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection. These maps typically portray both natural and manmade features. The selection represents a range of originators, ground condition dates, scales, and map purposes.

Dordrecht, Netherlands, ca. 1695 (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: Dordracum vulgo Dortt, F. de Wit excudit. It was published ca. 1695. Scale [ca. 1:4,830]. Covers a portion of Dordrecht, Netherlands. Map in Latin and Dutch.The image inside the map neatline is georeferenced to the surface of the earth and fit to the Dutch National Grid: RD (Rijksdriehoekstelsel) GCS Amersfoort (Bessel 1841) coordinate system. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as roads, drainage, built-up areas and selected buildings, fortifications, ground cover, and more. Includes also index.This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection. These maps typically portray both natural and manmade features. The selection represents a range of originators, ground condition dates, scales, and map purposes.

Haarlem, Netherlands, ca. 1695 (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: Harlemum vulgo Haerlem, F. de Wit excudit. It was published ca. 1695. Scale [ca. 1:3,862]. Covers a portion of Haarlem, Netherlands. Map in Latin and Dutch. The image inside the map neatline is georeferenced to the surface of the earth and fit to the Dutch National Grid: RD (Rijksdriehoekstelsel) GCS Amersfoort (Bessel 1841) coordinate system. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as roads, drainage, built-up areas and selected buildings, fortifications, canals, ground cover, and more. Includes also index.This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection. These maps typically portray both natural and manmade features. The selection represents a range of originators, ground condition dates, scales, and map purposes.

Leiden, Netherlands, ca. 1695 (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: Lugduni Batavorum vulgo Leyden sic ultimo amplificati delineatio, F. de Wit excudit. It was published ca. 1695. Scale [ca. 1:3,490]. Covers a portion of Leiden, Netherlands. Map in Latin and Dutch.The image inside the map neatline is georeferenced to the surface of the earth and fit to the Dutch National Grid: RD (Rijksdriehoekstelsel) GCS Amersfoort (Bessel 1841) coordinate system. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as roads, drainage, built-up areas and selected buildings, fortifications, canals, ground cover, and more. Includes also index.This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection. These maps typically portray both natural and manmade features. The selection represents a range of originators, ground condition dates, scales, and map purposes.

Coasts, Mediterranean Sea Region, East, 1680-1689 (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: Orientalior districtus Maris Mediterranei = T' Ooster gedeelte van de Middelandse Zee. It was published by Fred. de Wit, between 1680 and 1689. Scale [ca. 1:4,500,000]. Covers Mediterranean Sea, Black Sea, and coasts of Europe, North Africa, and the Middle East. Map in Latin and Dutch.The image inside the map neatline is georeferenced to the surface of the earth and fit to the World Miller Cylindrical projected coordinate system. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as drainage, cities and other human settlements, territorial boundaries, shoreline features, and more. Includes index.This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection. These maps typically portray both natural and manmade features. The selection represents a range of originators, ground condition dates, scales, and map purposes.

Coasts, Mediterranean Sea Region, West, 1680-1689 (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: Occidentalior Tractus Maris Mediterranei = Wester gedeelte van de Middelandse Zee. It was published by Fred. de Wit, between 1680 and 1689. Scale [ca. 1:4,500,000]. Scale [ca. 1:4,500,000]. Covers Mediterranean Sea and coasts of Europe and North Africa. Map in Latin and Dutch. The image inside the map neatline is georeferenced to the surface of the earth and fit to the World Miller Cylindrical projected coordinate system. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as drainage, cities and other human settlements, territorial boundaries, shoreline features, and more. Includes index.This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection. These maps typically portray both natural and manmade features. The selection represents a range of originators, ground condition dates, scales, and map purposes.

East China Sea and Yellow Sea Regions, China, North Korea, and South Korea, 1749 (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: Carte du Katay : ou, Empire de Kin, pour servir a l'histoire de Jenghiz Khan ; raportée dans l'histoire generale des voyages, tirée de l'Anglois = Kaart van Kitay, of 't Ryk der Kin, dienende tot de historie van Jenghiz Khan, uit de Engelsche in dit Bestek gebragt. ; J.V. Schley direx. It was published by Pierre de Hondt in 1749. Scale [ca. 1:1,500,000]. Covers the East China Sea and Yellow Sea regions, China, North Korea, and South Korea. Map in French and Dutch. The image inside the map neatline is georeferenced to the surface of the earth and fit to the World Miller Cylindrical projected coordinate system. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as drainage, cities and other human settlements, territorial boundaries, shoreline features, and more. Shows also the Great Wall of China and the travels of Genghis Khan. Relief shown pictorially. This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection. These maps typically portray both natural and manmade features. The selection represents a range of originators, ground condition dates, scales, and map purposes.

China, North Korea, and South Korea, 1749 (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: La Chine avec la Korée, et les parties de la Tartarie les plus voisines : tirées des cartes que les Jesuites Missionaires ont levées les années 1708, jusqu'en 1717, J. V. Schley direx. It was published by Pierre de Hondt in 1749. Scale [ca. 1:2,100,000]. Covers East and Central China, and North and South Korea, and a small portion of Mongolia. Map in French and Dutch.The image inside the map neatline is georeferenced to the surface of the earth and fit to the Asia North Lambert Conformal Conic coordinate system. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as drainage, cities and other human settlements, territorial boundaries, shoreline features, the Great Wall of China, and more. Relief shown pictorially. This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection. These maps typically portray both natural and manmade features. The selection represents a range of originators, ground condition dates, scales, and map purposes.

China, North Korea, and South Korea, 1808 (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: China, Neele sculpt. It was published by Longman & Co, Paternoster Row in Jany. 1, 1808. Scale [ca. 1:9,600,000]. Covers East and Central China, and North and South Korea, and a small portion of Mongolia, Vietnam, Laos, Burma, India, Japan, and Russia. Map in French and Dutch. The image inside the map neatline is georeferenced to the surface of the earth and fit to the Asia North Lambert Conformal Conic coordinate system. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as drainage, cities and other human settlements, territorial boundaries, shoreline features, and more.This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection. These maps typically portray both natural and manmade features. The selection represents a range of originators, ground condition dates, scales, and map purposes.

Central China and Southern Mongolia, 1750 (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: Carte de l'empire de Hya et partie de Tangut : pour servir a l'Histoire générale des voyages, tirée des auteurs anglois par N. Bellin ; J.V. Schley direx. It was published by Pierre de Hondt in 1750. Scale [ca. 1:9,000,000]. Covers the Central China and Southern Mongolia region. Map in French and Dutch.The image inside the map neatline is georeferenced to the surface of the earth and fit to the Asia North Lambert Conformal Conic coordinate system. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as drainage, cities and other human settlements, roads, and more. Shows also the Great Wall of China and the travels of Genghis Khan. Relief shown pictorially.This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection. These maps typically portray both natural and manmade features. The selection represents a range of originators, ground condition dates, scales, and map purposes.

Tibet, Western China, and Nepal, 1750 (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: Carte du Grand Thibet : pour servir a l'Histoire generale des voyages : dressée sur les observations les plus récentes, tirée des auteurs anglois par N. Bellin, Ingr. de la Marine, 1949. ; J.V. Schley direx. It was published by Pierre de Hondt in 1750. Scale [ca. 1:8,000,000]. Covers the Tibet Autonomous Region, Western China, Nepal, and small portions of Bhutan, Burma, and India. Map in French and Dutch.The image inside the map neatline is georeferenced to the surface of the earth and fit to the Asia North Lambert Conformal Conic coordinate system. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as drainage, cities and other human settlements, territorial boundaries, and more. Relief shown pictorially. This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection. These maps typically portray both natural and manmade features. The selection represents a range of originators, ground condition dates, scales, and map purposes.