Conditional ɛ-uniform convergence of adaptive algorithms in the finite element method as applied to singularly perturbed problems

The article reviews the most important results in the field of numerical mathematics obtained by Professor V. V. Strygin’s disciples and the disciples of his disciples in 2000–2019 in the city of Samara. We present the results on spline interpolation of functions with a boundary layer, methods and algorithms for a posteriori adaptation of computational grids for singularly perturbed boundary value problems and the results on applied wavelet analysis based on spline wavelets.

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Conditional ε-uniform boundedness of Galerkin projectors and convergence of an adaptive mesh method as applied to singularly perturbed boundary value problems

Blatov

Dobrobog

Kitaeva

2016

Comput. Math. and Math. Phys.

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Conditional ɛ-uniform convergence of adaptive algorithms in the finite element method as applied to singularly perturbed problems

Cited by 3 publications

References 3 publications

Convergence of Mesh Adaptive Algorithms for Elliptic Singularly Perturbed Boundary Value Problems with Exponential Boundary Layer

Convergence of Mesh Adaptive Algorithms for Elliptic Singularly Perturbed Boundary Value Problems with Exponential Boundary Layer

The development of V. V. Strygin’s ideas in numerical mathematics in the works of Samara mathematicians

Conditional ε-uniform boundedness of Galerkin projectors and convergence of an adaptive mesh method as applied to singularly perturbed boundary value problems

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