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020 _a9401777594
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_q(electronic bk.)
020 _z9789401777599
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035 _a(OCoLC)956376313
_z(OCoLC)959272949
040 _aN$T
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_bspa
050 4 _aTA347.F5
_bC644 2016 EB
100 1 _aCohen, Gary C.,
_d1952-
_eautor
245 1 0 _aFinite element and discontinuous Galerkin methods for transient wave equations
_cGary Cohen, Sébastien Pernet.
264 1 _aDordrecht
_bSpringer
_c[2016].
264 4 _c2017
300 _a1 recurso en línea (xvii, 381 páginas)
_bilustraciones (algunas a color)
336 _aTexto
_btxt
_2rdacontent
337 _aelectrónico
_bc
_2rdamedia
338 _arecurso electrónico
_bcr
_2rdacarrier
490 0 _aScientific computation
_x1434-8322
500 _aSpringerLink
_bSpringer Engineering eBooks 2017 English+International
504 _aIncluye referencias bibliográficas
505 0 _aForeword; Preface; Contents; 1 Classical Continuous Models and Their Analysis; 1.1 The Basic Equations; 1.1.1 The Acoustics Equation; 1.1.2 Maxwell's Equations; 1.1.3 The Linear Elastodynamics System; 1.1.4 Boundary Conditions; 1.2 Functional Issues; 1.2.1 Some Functional Spaces; 1.2.2 Variational Formulations; 1.2.3 Energy Identities; 1.2.4 Well-Posedness Results of Waves Equations; 1.3 Plane Wave Solutions; 1.3.1 A General Solution of the Homogeneous Wave Equation; 1.3.2 Application to Maxwell's Equations; 1.3.3 The 2D Case; 1.3.4 Application to the Isotropic Linear Elastodynamics System
505 8 _a2.5 Tetrahedral and Triangular Edge Elements2.5.1 Mixed Formulation; 2.5.2 A First Family; 2.5.3 A Second Family; 2.5.4 Tetrahedral Mass-Lumped Edge Elements; 2.5.5 Triangular Mass-Lumped Edge Elements; 2.6 Hexahedral and Quadrilateral Edge Elements; 2.6.1 First Family; 2.6.2 Second Family; 2.7 H(div) Finite Elements; 2.7.1 Tetrahedral and Triangular Elements; 2.7.2 Hexahedral and Quadrilateral Elements; 2.8 Other Mixed Elements; 2.8.1 Pyramidal and Prismatic Edge Elements; 2.8.2 Pyramidal and Prismatic H(div) Elements; References
505 8 _a3 Hexahedral and Quadrilateral Spectral Elements for Acoustic Waves3.1 Second-Order Formulation of the Acoustics Equation; 3.1.1 The Continuous and Approximate Problem; 3.1.2 Discretization of the Integrals; 3.2 First-Order Formulation of the Acoustics Equation; 3.2.1 The Mixed Formulation; 3.2.2 The Mass Matrices; 3.2.3 The Stiffness Matrices; 3.3 Comparison of the Methods; 3.3.1 Matrix Formulation; 3.3.2 A Theorem of Equivalence; 3.3.3 Comparison of the Costs; 3.4 Dispersion Relation; 3.4.1 The Continuous Equation; 3.4.2 A Didactic Case: The P1 Approximation
505 8 _a3.4.3 The Concept of Numerical Dispersion3.4.4 P2 Approximation; 3.4.5 P3 and Higher-Order Approximations; 3.4.6 Extension to Higher Dimensions; 3.5 Reflection-Transmission by a Discontinuous Interface; 3.5.1 The Continuous Problem; 3.5.2 FEM Approximation of the Heterogeneous Wave Equation; 3.5.3 Taylor Expansion of the Wavenumber; 3.5.4 Interface Between Two Elements; 3.5.5 Interface at an Interior Point; 3.5.6 Extension to Higher-Order Approximations; 3.5.7 A Two-Layer Experiment; 3.6 hp-a priori Error Estimates; 3.6.1 Some Properties of Meshes
650 7 _aMétodo de elementos finitos
_2embne
_0(OCoLC)fst00924897
_0
_9141492
700 1 _aPernet, Sébastien,
_eautor
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=http://link.springer.com/10.1007/978-94-017-7761-2
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
988 _aEBOOK, asignarmaterias, EBSPRINGER_2017A
998 _b02/2018
_dz
_e-
_zSI
999 _c94479
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