The finite element solution of elliptic and parabolic equations using simplicial isoparametric elements

DOI10.1051/m2an/1979130302571zbMath0413.65080OpenAlexW2587083245MaRDI QIDQ3048184

Josef Nedoma

Publication date: 1979

Published in: RAIRO. Analyse numérique (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193343

zbMATH Keywords

finite element methodapproximate solutionserror boundselliptic equationsparabolic equations\(A\)-stable methods

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

The finite element solution of second order elliptic problems with the Newton boundary condition, An isoparametric mixed finite element method for approximating a class of fourth-order elliptic problem, A practical finite element approximation of a semi-definite Neumann problem on a curved domain

Cites Work

• Approximation in the finite element method
• Finite Element Methods for Parabolic Equations
• Finite Element Multistep Discretizations of Parabolic Boundary Value Problems
• Finite element methods for nonlinear parabolic equations
• Curved Elements in the Finite Element Method. II
• Curved Elements in the Finite Element Method. I
• Estimation of Linear Functionals on Sobolev Spaces with Application to Fourier Transforms and Spline Interpolation
• Triangular Elements in the Finite Element Method
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item