| 000 | 03584nam a22005655i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-63341-6 | ||
| 003 | DE-He213 | ||
| 005 | 20251030112642.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 240722s2024 sz | s |||| 0|eng d | ||
| 020 |
_a9783031633416 _9978-3-031-63341-6 |
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| 024 | 7 |
_a10.1007/978-3-031-63341-6 _2doi |
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| 050 | 4 | _aTA349-359 | |
| 072 | 7 |
_aTGB _2bicssc |
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_aTEC009070 _2bisacsh |
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_aTGB _2thema |
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| 100 | 1 |
_aCrouch, Steven L. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _981008 |
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| 245 | 1 | 2 |
_aA First Course in Boundary Element Methods _h[electronic resource] / _cby Steven L. Crouch, Sofia G. Mogilevskaya. |
| 250 | _a1st ed. 2024. | ||
| 264 | 1 |
_aCham : _bSpringer Nature Switzerland : _bImprint: Springer, _c2024. |
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| 300 |
_aXIV, 477 p. 112 illus. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aMathematical Engineering, _x2192-4740 |
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| 505 | 0 | _a1. An Illustration of the Boundary Element Approach -- 2. Potential Theory -- 3. The Direct Boundary Integral Method for Laplace’s Equation -- 4. Elasticity -- 5. The Stress Discontinuity Method. | |
| 520 | _aThis 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, particularly focusing on two-dimensional problems within potential theory and linear elasticity. | ||
| 650 | 0 | _aMechanics, Applied. | |
| 650 | 0 |
_aMechanical engineering. _958323 |
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| 650 | 0 |
_aEngineering mathematics. _964145 |
|
| 650 | 0 |
_aEngineering _xData processing. |
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| 650 | 1 | 4 | _aEngineering Mechanics. |
| 650 | 2 | 4 |
_aMechanical Engineering. _958323 |
| 650 | 2 | 4 | _aMathematical and Computational Engineering Applications. |
| 700 | 1 |
_aMogilevskaya, Sofia G. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _981009 |
|
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031633409 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031633423 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031633430 |
| 830 | 0 |
_aMathematical Engineering, _x2192-4740 _981010 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-63341-6 |
| 912 | _aZDB-2-ENG | ||
| 912 | _aZDB-2-SXE | ||
| 999 |
_c61801 _d61801 |
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