Analysis of the Cell Vertex Finite Volume Method for the Cauchy--Riemann Equations

DOI10.1137/S0036142994276384zbMath0888.65119OpenAlexW1982910385MaRDI QIDQ4377527

Michèle Vanmaele, K. W. Morton, Alfio Borzì, Endre Süli

Publication date: 10 February 1998

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142994276384

zbMATH Keywords

stabilityconvergenceerror boundsCauchy-Riemann equationsPetrov-Galerkin finite element methodcell vertex finite volume method

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (5)

Unnamed Item ⋮ Formulation and multigrid solution of Cauchy-Riemann optimal control problems ⋮ A full multigrid solution of control-constrained Cauchy–Riemann optimal control problems ⋮ Analysis of piecewise linear approximations to the generalized Stokes problem in the velocity-stress-pressure formulation ⋮ ANALYSIS OF LEAST-SQUARES APPROXIMATIONS TO SECOND-ORDER ELLIPTIC PROBLEMS. II. FINITE VOLUME METHOD

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