Series: Classics in Applied Mathematics. Buy the Print Edition. Author s : Pierre Grisvard.
Keywords: nonsmooth , Sobolev spaces , ellipses , boundary value problems , singularities. Return to All Sections. Front Matter.
Elliptic Boundary Value Problems on Corner Domains
Sobolev Spaces. More Singular Solutions. Results in Spaces of Holder Functions. A Model Fourth-Order Problem. Back Matter.
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Banner art adapted from a figure by Hinke M. Front Matter pp.
Sobolev Spaces pp. More Singular Solutions pp.
Results in Spaces of Holder Functions pp. By using the Hyper-circle equation , an alternative error estimate of the projection has been proposed. Additionally, a new residual evaluation method based on the mixed finite element method works well.
Elliptic Problems in Nonsmooth Domains - Pierre Grisvard - Google книги
It yields more accurate evaluation than the existing method. The efficiency of our method is shown through illustrative numerical results on several polygonal domains.
- Elliptic Problems in Nonsmooth Domains.
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Journal home Journal issue About the journal. Verified computations to semilinear elliptic boundary value problems on arbitrary polygonal domains.
Keywords: Computer-assisted proof , Semilinear elliptic equations , Finite element method , Verified numerical computations. Article overview. References Related articles 0.
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