{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,16]],"date-time":"2025-10-16T20:17:23Z","timestamp":1760645843818},"reference-count":25,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2011,6,19]],"date-time":"2011-06-19T00:00:00Z","timestamp":1308441600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Comput Mech"],"published-print":{"date-parts":[[2011,12]]},"DOI":"10.1007\/s00466-011-0612-7","type":"journal-article","created":{"date-parts":[[2011,6,18]],"date-time":"2011-06-18T00:32:21Z","timestamp":1308357141000},"page":"659-673","source":"Crossref","is-referenced-by-count":17,"title":["Hybrid-Trefftz displacement element for poroelastic media"],"prefix":"10.1007","volume":"48","author":[{"given":"J. A. Teixeira","family":"de Freitas","sequence":"first","affiliation":[]},{"given":"I. D.","family":"Moldovan","sequence":"additional","affiliation":[]},{"given":"C.","family":"Cisma\u015fiu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2011,6,19]]},"reference":[{"key":"612_CR1","unstructured":"Abramowitz M, Stegun IA (1972) Handbook of mathematical functions with formulas, graphs and mathematical tables, 10th edn. Applied mathematics series 55. National Bureau of Standards"},{"key":"612_CR2","doi-asserted-by":"crossref","first-page":"168","DOI":"10.1121\/1.1908239","volume":"28","author":"MA Biot","year":"1956","unstructured":"Biot MA (1956) Theory of propagation of elastic waves in a fluid saturated porous solid. Part I: low frequency range. J Acoust Soc Am 28: 168\u2013178","journal-title":"J Acoust Soc Am"},{"key":"612_CR3","unstructured":"Cisma\u015fiu C (2000) The hybrid-Trefftz displacement element for static and dynamic structural analysis problems. PhD thesis, Universidade T\u00e9cnica de Lisboa"},{"key":"612_CR4","doi-asserted-by":"crossref","first-page":"1405","DOI":"10.1016\/j.compstruc.2004.03.036","volume":"82","author":"I Cisma\u015fiu","year":"2004","unstructured":"Cisma\u015fiu I, Almeida JPM (2004) The use of topological data-structures in the distributed solution of non-conventional finite element formulations. Comput Struct 82: 1405\u20131411","journal-title":"Comput Struct"},{"key":"612_CR5","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1090\/qam\/156707","volume":"21","author":"RW Cottle","year":"1963","unstructured":"Cottle RW (1963) Symmetric dual quadratic programs. Q Appl Math 21: 237\u2013241","journal-title":"Q Appl Math"},{"key":"612_CR6","doi-asserted-by":"crossref","first-page":"909","DOI":"10.1002\/cpa.3160410705","volume":"41","author":"I Daubechies","year":"1988","unstructured":"Daubechies I (1988) Orthonormal bases of compactly supported wavelets. Commun Pure Appl Math 41: 909\u2013996","journal-title":"Commun Pure Appl Math"},{"key":"612_CR7","unstructured":"Degrande G (1992) A spectral and finite element method for wave propagation in dry and saturated poroelastic media. PhD thesis, Katholieke Universiteit te Leuven"},{"key":"612_CR8","doi-asserted-by":"crossref","first-page":"629","DOI":"10.1090\/S0025-5718-1977-0436612-4","volume":"31","author":"B Engquist","year":"1977","unstructured":"Engquist B, Majda A (1977) Absorbing boundary conditions for the numerical simulation of waves. Math Comput 31: 629\u2013651","journal-title":"Math Comput"},{"key":"612_CR9","doi-asserted-by":"crossref","first-page":"3425","DOI":"10.1016\/S0045-7825(02)00244-X","volume":"191","author":"JAT Freitas","year":"2002","unstructured":"Freitas JAT (2002) Mixed finite element formulation for the solution of parabolic problems. Comput Methods Appl Mech Eng 191: 3425\u20133457","journal-title":"Comput Methods Appl Mech Eng"},{"key":"612_CR10","unstructured":"Freitas JAT (2006) Uniqueness conditions for non-Hermitian systems. Intern Rep, ICIST, Instituto Superior T\u00e9cnico"},{"key":"612_CR11","doi-asserted-by":"crossref","first-page":"3657","DOI":"10.1016\/j.cma.2008.02.014","volume":"197","author":"JAT Freitas","year":"2008","unstructured":"Freitas JAT (2008) Mixed finite element solution of time-dependent problems. Comput Methods Appl Mech Eng 197: 3657\u20133678","journal-title":"Comput Methods Appl Mech Eng"},{"key":"612_CR12","unstructured":"Freitas JAT, Cisma\u015fiu C (2001) Hybrid-Trefftz displacement element for spectral elastodynamics of two-phase media. Intern Rep, ICIST, Instituto Superior T\u00e9cnico"},{"key":"612_CR13","doi-asserted-by":"crossref","first-page":"1095","DOI":"10.1016\/S0168-874X(02)00159-2","volume":"39","author":"JAT Freitas","year":"2003","unstructured":"Freitas JAT, Cisma\u015fiu C (2003) Adaptive p-refinement of hybrid-Trefftz finite element solutions. Finite Elem Anal Des 39: 1095\u20131121","journal-title":"Finite Elem Anal Des"},{"key":"612_CR14","doi-asserted-by":"crossref","first-page":"671","DOI":"10.1016\/S0020-7683(02)00615-7","volume":"40","author":"JAT Freitas","year":"2003","unstructured":"Freitas JAT, Cismasiu C (2003) Hybrid-Trefftz displacement element for spectral analysis of bounded and unbounded media. Int J Solids Struct 40: 671\u2013699","journal-title":"Int J Solids Struct"},{"key":"612_CR15","doi-asserted-by":"crossref","first-page":"473","DOI":"10.1002\/nme.320","volume":"53","author":"JAT Freitas","year":"2002","unstructured":"Freitas JAT, Cisma\u015fiu I (2002) Shape optimization with hybrid-Trefftz displacement elements. Int J Numer Methods Eng 53: 473\u2013498","journal-title":"Int J Numer Methods Eng"},{"key":"612_CR16","doi-asserted-by":"crossref","unstructured":"Freitas JAT, Moldovan ID (2010) Hybrid-Trefftz stress element for bounded and unbounded poroelastic media. Int J Numer Methods Eng. doi: 10.1002\/nme.3015","DOI":"10.1002\/nme.3015"},{"key":"612_CR17","doi-asserted-by":"crossref","first-page":"1286","DOI":"10.1016\/j.compstruc.2009.01.015","volume":"88","author":"JAT Freitas","year":"2010","unstructured":"Freitas JAT, Moldovan ID, Toma M (2010) Mixed and hybrid stress elements for biphasic media. Comput Struct 88: 1286\u20131299","journal-title":"Comput Struct"},{"key":"612_CR18","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1016\/0045-7949(95)00115-W","volume":"58","author":"J Jirousek","year":"1996","unstructured":"Jirousek J, Qin QH (1996) Application of hybrid-Trefftz element approach to transient heat conduction analysis. Comput Struct 58: 195\u2013201","journal-title":"Comput Struct"},{"key":"612_CR19","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1016\/0045-7825(78)90013-0","volume":"14","author":"J Jirousek","year":"1978","unstructured":"Jirousek J (1978) Basis for development of large finite elements locally satisfying all field equations. Comput Methods Appl Mech Eng 14: 65\u201392","journal-title":"Comput Methods Appl Mech Eng"},{"key":"612_CR20","unstructured":"Moldovan ID (2008) Hybrid-Trefftz finite elements for elastodynamic analysis of saturated porous media. PhD thesis, Universidade T\u00e9cnica de Lisboa"},{"key":"612_CR21","doi-asserted-by":"crossref","first-page":"1040","DOI":"10.1137\/S0036141095295127","volume":"29","author":"P Monasse","year":"1998","unstructured":"Monasse P, Perrier V (1998) Orthonormal wavelet bases adapted for partial differential equations with boundary conditions. SIAM J Numer Anal 29: 1040\u20131065","journal-title":"SIAM J Numer Anal"},{"key":"612_CR22","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1007\/BF02736209","volume":"7","author":"KK Tamma","year":"2000","unstructured":"Tamma KK, Zhou X, Sha D (2000) The time dimension: a theory towards the evolution, classification, characterization and design of computational algorithms for transient\/dynamic applications. Arch Comput Methods Eng 7: 67\u2013290","journal-title":"Arch Comput Methods Eng"},{"key":"612_CR23","unstructured":"Trefftz E (1926) Ein Gegenst\u00fcck zum Ritzschen Verfahren. In: Proc 2nd Int Cong Appl Mech, Zurich"},{"key":"612_CR24","doi-asserted-by":"crossref","first-page":"465","DOI":"10.1016\/S0168-9274(98)00025-7","volume":"27","author":"SV Tsynkov","year":"1998","unstructured":"Tsynkov SV (1998) Numerical solution of problems on unbounded domains: a review. Appl Numer Math 27: 465\u2013532","journal-title":"Appl Numer Math"},{"key":"612_CR25","doi-asserted-by":"crossref","first-page":"487","DOI":"10.1016\/S0894-9166(09)60300-1","volume":"22","author":"H Wang","year":"2009","unstructured":"Wang H, Qin Q-H (2009) Hybrid FEM fundamental solution as trial functions for heat conduction simulation. Acta Mech Solida Sin 22: 487\u2013498","journal-title":"Acta Mech Solida Sin"}],"container-title":["Computational Mechanics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00466-011-0612-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00466-011-0612-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00466-011-0612-7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,11]],"date-time":"2019-06-11T20:05:06Z","timestamp":1560283506000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00466-011-0612-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,6,19]]},"references-count":25,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2011,12]]}},"alternative-id":["612"],"URL":"https:\/\/doi.org\/10.1007\/s00466-011-0612-7","relation":{},"ISSN":["0178-7675","1432-0924"],"issn-type":[{"value":"0178-7675","type":"print"},{"value":"1432-0924","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,6,19]]}}}