Adaptive methods for semi-linear elliptic equations with critical exponents and interior singularities

DOI10.1016/S0168-9274(97)00093-7zbMath0895.65053OpenAlexW1991716775MaRDI QIDQ1379035

Chris J. Budd

Publication date: 21 September 1998

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(97)00093-7

zbMATH Keywords

error estimatescritical exponentsadaptive finite element methodssemi-linear elliptic equationinterior singularities

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (1)

Numerical and analytical estimates of existence regions for semi-linear elliptic equations with critical Sobolev exponents in cuboid and cylindrical domains

Uses Software

• VLUGR3

Cites Work

• Conformal deformation of a Riemannian metric to constant scalar curvature
• Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions
• A static-regridding method for two-dimensional parabolic partial differential equations
• Moving mesh methods based on moving mesh partial differential equations
• VLUGR3: A vectorizable adaptive grid solver for PDEs in 3D. I: Algorithmic aspects and applications
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Stability and Convergence in Numerical Analysis III: Linear Investigation of Nonlinear Stability
• Semilinear elliptic equations with near critical growth rates
• Finite element methods for nonlinear elliptic systems of second order
• Convergent and spurious solutions of nonlinear elliptic equations
• The Finite Element Approximation of Semilinear Elliptic Partial Differential Equations with Critical Exponents in the Cube
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