Partial Differential Equations and the Finite Element Method

DOI10.1002/0471764108zbMath1092.65080OpenAlexW2503466781MaRDI QIDQ3377738

Publication date: 29 March 2006

Full work available at URL: https://doi.org/10.1002/0471764108

beam finite element method numerical examples textbook Maxwell equations plate bending semidiscretization electromagnetics second-order problems fourth-order problems higher-order elements low-order elements

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with optics and electromagnetic theory (35Q60) Boundary value problems for higher-order elliptic equations (35J40) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Electromagnetic theory (general) (78A25) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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