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平行化迭代自適應多尺度有限元素法:演算法設計,科學計算軟體發展,理論與應用
Hwang, Feng-Nan
(PI)
數學系
概覽
指紋
研究成果
(2)
指紋
探索此專案觸及的研究主題。這些標籤是根據基礎獎勵/補助款而產生。共同形成了獨特的指紋。
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Keyphrases
Generalized multiscale Finite Element Method (GMsFEM)
93%
Adaptive multi-scale
55%
Multiscale Basis Functions
51%
Approximate Solution
46%
Elliptic Interface Problem
40%
Elliptic PDE
40%
Roughness Coefficient
40%
Local Boundary Conditions
29%
Coarse Mesh
24%
Fine Mesh
24%
Global Information
21%
Multiscale Finite Element
20%
Multigrid Method
16%
Smoothing Methods
16%
Two-level
16%
Global-local
14%
Numerical Examples
14%
Mesh Smoothing
8%
Coefficient Problems
8%
Convection-dominated Diffusion Problem
8%
Elliptic Equations
8%
Solution of Equations
8%
Harmonic Coordinates
8%
Scale Coefficient
8%
Restriction Operator
8%
Galerkin Projection
8%
Prolongation Operator
8%
Information Transfer
8%
Approximation Property
8%
Adaptive Method
8%
Numerical Solution
8%
Interface Problem
8%
Convergence Analysis
8%
Multiscale Method
8%
Function-based
8%
High Contrast
8%
Smoothing Iterations
6%
Elliptic Interface
6%
Function Problems
6%
Adaptive Basis Functions
6%
Numerical Formulation
6%
Coarse Grid
6%
Multi-scale Features
6%
Benchmark Problems
6%
Information Exchange
6%
Frequency Error
6%
Method Study
6%
Partial Differential Equation Systems
6%
Popular Classes
6%
Multiscale Behavior
6%
Scalar
6%
Partial Differential Equations
6%
Mathematics
Finite Element Method
100%
Basis Function
70%
Boundary Condition
68%
Partial Differential Equation
46%
Numerical Solution
32%
Iteration Step
24%
Approximate Solution
24%
Approximates
24%
Numerical Example
16%
Multigrid Method
16%
Local Information
14%
Elliptic Equation
8%
Convergence Analysis
8%
Approximation Property
8%
Information Transfer
8%
Scalar
6%
Systems Of Partial Differential Equations
6%
Engineering
Multiscale
80%
Finite Element Analysis
80%
Partial Differential Equation
40%
Basis Function
37%
Boundary Condition
26%
Numerical Solution
20%
Coarse Mesh
15%
Iteration Step
15%
Fine Mesh
15%
Approximate Solution
13%
Multigrid
10%
Numerical Example
9%
Local Information
5%
Multiscale Coefficient
5%
Adaptive Method
5%
Diffusion Problem
5%
Harmonics
5%