| 期刊全称 | A First Course in Boundary Element Methods | | 影响因子2023 | Steven L. Crouch,Sofia G. Mogilevskaya | | 视频video | | | 发行地址 | Provides in-depth derivations of key mathematical solutions.Distinguishes itself from conventional boundary element method texts.Offers essential solutions and algorithm insights | | 学科分类 | Mathematical Engineering | | 图书封面 |  | | 影响因子 | .This textbook delves into the theory and practical application of boundary integral equation techniques, focusing on their numerical solution for boundary value problems within potential theory and linear elasticity. Drawing parallels between single and double layer potentials in potential theory and their counterparts in elasticity, the book introduces various numerical procedures, namely boundary element methods, where unknown quantities reside on the boundaries of the region of interest. Through the approximation of boundary value problems into systems of algebraic equations, solvable by standard numerical methods, the text elucidates both indirect and direct approaches. Indirect methods involve single or double layer potentials separately while direct methods combine these potentials using Green‘s or Somigliana‘s formulas. The two approaches give comparable results for general boundary value problems. Tailored for beginning graduate students, this self-contained textbook offers detailed analytical and numerical derivations for isotropic and anisotropic materials, prioritizing simplicity in presentation while progressively advancing towards more intricate mathematical concepts | | Pindex | Book 2024 |
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发表于 2025-3-21 16:25:25
