scientific article

zbMath0438.65090MaRDI QIDQ3880236

H. R. Schwarz

Publication date: 1980

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

diffusionfinite element methodtextbookheat conductionsparse matricesvibration problemselliptic boundary value problemsplatesresidual methodelementary introductionacoustic eigenfrequenciesGalerkin equationsconcrete exampleselastomechanicscondensation of the matricesgraphic resultsoptimal numbering of the node pointsplane elastomechanic problems

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mathematics for nonmathematicians (engineering, social sciences, etc.) (00A06) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01)

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Bisection for Ax=lambdaBx with matrices of variable band width ⋮ The General Minimum Fill-In Problem ⋮ The calculation of guaranteed bounds for eigenvalues using complementary variational principles ⋮ Numerical approximation of water waves through a deterministic algorithm ⋮ Wave propagation in the cochlea (inner ear): Effects of Reissner's membrane and non-rectangular cross-section ⋮ Enclosure of solutions of weakly nonlinear elliptic boundary value problems and their computation ⋮ Three-Dimensional Discontinuous Galerkin Codes to Simulate Viscous Flow by Spatial Discretization of High Order and Curved Elements on Unstructured Grids ⋮ Finite element interpolation error bounds with applications to eigenvalue problems

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