Firdiansyah, Adin Lazuardy (2019) Penyelesaian Persamaan Hiperbolik Linear Menggunakan Metode Elemen Hingga Least-Squares dan SUPG. Sarjana thesis, Universitas Brawijaya.
Abstract
Persamaan hiperbolik sering digunakan dalam ilmu pengetahuan dan keteknikan. Persamaan hiperbolik dapat menggambarkan gelombang propagasi dan transportasi molekul. Persamaan hiperbolik memiliki solusi diskontinu ketika data kondisi batas adalah diskontinu. Hal tersebut membuat tidak mudah membangun metode numerik untuk mendapatkan solusi tanpa osilasi. Tesis ini membahas tentang penyelesaian persamaan hiperbolik linear menggunakan metode elemen hingga least-squares dengan minimum residual (MINRES) dan Streamline-Upwind/Petrov-Galerkin (SUPG) dengan parameter kestabilan
English Abstract
The hyperbolic equation has many applications in sciences and engineering. The hyperbolic equation can describe propagation wave and transport molecules. The hyperbolic equation has discontinuous solution when boundary data is discontinuous. This condition makes it difficult in finding a numerical method for its solution. This thesis discussed about least-squares finite element method with MINRES and Streamline-Upwind/Petrov-Galerkin (SUPG) finite element method with stability parameters
Other obstract
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| Item Type: | Thesis (Sarjana) |
|---|---|
| Identification Number: | TES/515.353 5/FIR/p/2019/041901356 |
| Uncontrolled Keywords: | DIFFERENTIAL EQUATIONS, HYPERBOLIC, LEAST SQUARES |
| Subjects: | 500 Natural sciences and mathematics > 515 Analysis > 515.3 Differential calculus and equations > 515.35 Differential equations > 515.353 Partial differential equations > 515.353 5 Hyperbolic equations |
| Divisions: | S2/S3 > Magister Matematika, Fakultas MIPA |
| Depositing User: | Budi Wahyono Wahyono |
| Date Deposited: | 19 Dec 2019 06:13 |
| Last Modified: | 21 Oct 2021 03:07 |
| URI: | http://repository.ub.ac.id/id/eprint/177170 |
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