BEM for variable coefficient second-order problems
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914587319730176 |
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| author | Gräßle, Benedikt Sauter, Stefan A. |
| author_facet | Gräßle, Benedikt Sauter, Stefan A. |
| contents | A novel boundary element method (BEM) removes the classical dependence on explicit fundamental solutions and extends quasi-optimal BEM discretisations to strongly elliptic operators with variable coefficients. The approach constructs a computable approximation of the boundary operator from a Galerkin discretisation of the underlying elliptic differential operator in a one-time preprocessing step, for instance by conforming finite elements. The resulting algebraic formulation retains the dimension reduction intrinsic to boundary integral methods and is compatible with standard data-sparse matrix compression techniques. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_22159 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | BEM for variable coefficient second-order problems Gräßle, Benedikt Sauter, Stefan A. Numerical Analysis 65N38, 65N30, 65R20, 31B10 A novel boundary element method (BEM) removes the classical dependence on explicit fundamental solutions and extends quasi-optimal BEM discretisations to strongly elliptic operators with variable coefficients. The approach constructs a computable approximation of the boundary operator from a Galerkin discretisation of the underlying elliptic differential operator in a one-time preprocessing step, for instance by conforming finite elements. The resulting algebraic formulation retains the dimension reduction intrinsic to boundary integral methods and is compatible with standard data-sparse matrix compression techniques. |
| title | BEM for variable coefficient second-order problems |
| topic | Numerical Analysis 65N38, 65N30, 65R20, 31B10 |
| url | https://arxiv.org/abs/2605.22159 |