Computational Science Questions, Problems & Solutions : TransWikia.com ~ Page 28

How do you construct a self-similar binary structured-tree?

Please excuse me if this question somehow looks trivial or not really interesting, but I recently have a hard time to convince someone else that my algorithm for constructing a...

Asked on 02/19/2021 by Alone Programmer

1 answer

How to compare 2D vector fields and minimize the difference?

I want to compare the field of two electrical currents and compare the resulting field to a magnetic dipol field and find magnetic momentum that minimizes the difference of the...

Asked on 02/19/2021

1 answer

Transition from 2D to 3D finite element code, what are the inevitable modifications to be implemented?

Imagine we have a simple 2D FEM solver (we are dealing with solid mechanics) and we would like to develop it to a 3D FEM solver (let's say for the...

Asked on 02/18/2021 by Dude

1 answer

Project to nearest point on convex polyhedron

I have a point $y in mathbb{R}^d$ and a convex polyhedron $mathcal{P}$ given as the intersection of half-spaces: $$mathcal{P} = {x in mathbb{R}^d mid a_1 cdot x...

Asked on 02/17/2021

1 answer

Parametric nonlinear programming

I believe, I have a parametric nonlinear optimization problem.The non-convex constraints depend on some parameters, and I seek a solution that satisfies these constraints for all parameters in a...

Asked on 02/17/2021 by vaiana

0 answer

How to improve the efficiency of periodicity detection for long time based lined and gapped datasets

Our data set has $10^4$ data points, but has a long baseline and many gaps. As the histogram shows, the horizontal-axis is time and most of...

Asked on 02/16/2021

1 answer

Solving nonlinear PDE with finite difference based on Newton-Krylov

I am now working on solving MHD equations with finite difference method, which include nonlinear equations:$$frac{partialrho}{partial t}+nablacdotleft[left(rho_0+rhoright){v}right]-nablacdotleft(dnablarhoright)=0frac{partial{v}}{partial t}+nabla{{v}}cdot{{v}}-frac{1}{rho+rho_0}left[{j}_0times{B}+left(nablatimes{B}right)timesleft({B}+{B}_0right)right]-nablacdotleft(nunabla{v}right)=0frac{partial{B}}{partial t}-nablatimesleft({v}times{B}right)-etanabla^2{{B}}=0$$where $rho$,$v=(v_x,v_y,v_z)$,$B=(B_x,B_y,B_z)$...

Asked on 02/16/2021 by Nothingts

1 answer

How to deal with nonlinear term in Navier Stokes equations (finite element code)

I am trying to solve the Navier Stokes equations using the finite element method. I plan on using the pressure correction method to deal with the pressure and an implicit...

Asked on 02/15/2021

4 answer

Good rectangular covering of an SDF

I have a 2D SDF describing my shape, but it's fine to think of it as a black/white image (black="inside" white="outside"). I want to generate a small...

Asked on 02/15/2021 by jwd

1 answer

For traditional FEM and FVM, why can't we use mesh to represent geometry and use the mesh which represent the geometry to do the computation directly?

Isogeometric analysis [1] has the advantage of integrating geometric and mesh models using NURBS or Spline. At the same time, I would like to ask a question to my...

Asked on 02/15/2021 by Dong Ivan

3 answer

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