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Computational Science : Recent Questions and Answers (Page 14)

Find answers to your questions about Computational Science or help others by answering their Computational Science questions.

Boundary layer and high order finite element methods

When modeling boundary layers, it is typically required to have a highly refined mesh along the boundary. My question is if there has been success with high order finite element...

Asked on 07/31/2021

0 answer

Specifying ode solver options to speed up compute time

I'm specifying the 'JPattern', sparsity_pattern in the ode options to speed up the compute time of my actual system. I am sharing a sample code below to show how I...

Asked on 07/29/2021

2 answer

Interpreting multivariable root-finding results from Matlab's fsolve algorithm

Edit: So I was able to get the same value of r that's given, when coding up the sum of squares of function values directly in the script file, rather...

Asked on 07/29/2021 by user36973

1 answer

Is mesh orthogonality important for FEM?

While studying mesh quality metrics in literature and software documentation, I've seen discussions about mesh orthogonality in Finite Volume Method (FVM) contexts, but not for Finite Element Method (FEM). For...

Asked on 07/27/2021

2 answer

Finite Element Analysis based on contractions of a subset of edges in enterior of mesh

I am modelling a problem that is "driven", not by typical boundary conditions but, by contractions in its interior. In a finite element analysis, I can specify the new lengths...

Asked on 07/27/2021

1 answer

Finite difference method having a discontinuity

I am trying to understand the FDM which is a widely used method solving differential equations by using approximation below.$$dfrac{partial u}{partial x}=dfrac{u(i+1)-u(i-1)}{2Delta x}$$How can I apply the...

Asked on 07/25/2021

2 answer

Calculating the log-determinant of a large sparse matrix

I need to calculate $log(det (mathbf M_i))$ where the $mathbf M_i$'s are large sparse matrices, which are real, symmetric and positive semi-definite. I hope to have between $10$ and...

Asked on 07/24/2021

3 answer

Is the sine function periodic in $x$ or $y$?

I know sine is $2pi$-periodic, but some people say the motion is "periodic in..." Would it be periodic in $y$? If we move along the $x$-axis, the...

Asked on 07/22/2021

2 answer

Finite-difference software for solving custom equations

Are there any good, easy to use, software for simulating the evolution of systems of generic differential equations? I know there are custom programs for various specific circumstances (such as...

Asked on 07/21/2021

3 answer

Solving a specific sparse linear system without dense materialization

I need to (computationally) solve a system of equations, for the purposes of an interior point method, of the form $$left[begin{array}{cc}B & A^T A & 0end{array}right] left[begin{array}{c}xyend{array}right]...

Asked on 07/21/2021 by ckfinite

2 answer

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