Numerical and analytical estimates of existence regions for semi-linear elliptic equations with critical Sobolev exponents in cuboid and cylindrical domains
DOI10.1016/S0377-0427(02)00737-9zbMath1016.65082MaRDI QIDQ1861315
Publication date: 16 March 2003
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
finite element methodcombustioncritical Sobolev exponentspurious solutionsmatched asymptotic expansionsemi-linear elliptic partial differential equationspolytopic gases
Nonlinear boundary value problems for linear elliptic equations (35J65) 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) Rings and algebras of continuous, differentiable or analytic functions (46E25)
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