كتاب
Particular solution of poisson problems using Cardinal Lagrangian polyharmonic splines
| العنوان: | Particular solution of poisson problems using Cardinal Lagrangian polyharmonic splines |
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| المؤلفون: | BACCHELLI, BARBARA, BOZZINI, MARIA TUGOMIRA |
| المساهمون: | Ferreira, AJM, Kansa, EJ, Fasshauer, GE, Leitão, VMA, Bacchelli, B, Bozzini, M |
| بيانات النشر: | Springer ES Barcellona |
| سنة النشر: | 2009 |
| المجموعة: | Università degli Studi di Milano-Bicocca: BOA (Bicocca Open Archive) |
| مصطلحات موضوعية: | Particular solutions, Poisson equation, fundamental solutions, cardinal Lagrangian polyharmonic splines, MAT/08 - ANALISI NUMERICA |
| الوصف: | In this paper, we propose a method belonging to the class of special meshless kernel techniques for solving Poisson problems. The method is based on a simple new construction of an approximate particular solution of the nonhomogeneous equation in the space of polyharmonic splines. High order Lagrangian polyharmonic splines are used as a basis to approximate the nonhomogeneous term and a closed-form particular solution is given. The coefficients can be computed by convolution products of known vectors. This can be done in all dimensions, without numerical integration nor solution of systems. Numerical experiments are presented in two dimensions and show the quality of the approximations for different test examples |
| نوع الوثيقة: | book part |
| اللغة: | English |
| العلاقة: | info:eu-repo/semantics/altIdentifier/isbn/9781402088209; info:eu-repo/semantics/altIdentifier/wos/WOS:000264056500001; ispartofseries:Computational Methods in Applied Sciences; ispartofbook:Progress on Meshless Methods; volume:11; firstpage:1; lastpage:16; numberofpages:16; serie:COMPUTATIONAL METHODS IN APPLIED SCIENCES; alleditors:Ferreira, AJM; Kansa, EJ; Fasshauer, GE; Leitão, VMA; http://hdl.handle.net/10281/15994Test; info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-84962859633 |
| DOI: | 10.1007/978-1-4020-8821-6_1 |
| الإتاحة: | https://doi.org/10.1007/978-1-4020-8821-6_1Test http://hdl.handle.net/10281/15994Test |
| رقم الانضمام: | edsbas.B40E59EC |
| قاعدة البيانات: | BASE |
| DOI: | 10.1007/978-1-4020-8821-6_1 |
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