An adaptive multi-grid algorithm for the numerical solution of quasilinear potential equations

DOI10.1007/BF02240197zbMath0572.65090MaRDI QIDQ1062436

B. George

Publication date: 1985

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

comparisonnumerical experimentserror estimationminimal surface problemadaptive multi-grid algorithmquasilinear potential equations

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for linear elliptic equations (35J65) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Error bounds for boundary value problems involving PDEs (65N15) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Cites Work

• Zur Diskretisierung nichtlinearer elliptischer Differentialgleichungen. (On the discretization of nonlinear elliptic differential equations)
• Solution of Large Sparse Nonlinear Systems by Monotone Convergent Iterations and Applications
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• Numerical Solution of the Minimal Surface Equation
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