*Jan*

I am currently studying this paper On Solving the Irregularly-Shaped Plate Buckling Problem. "Traditional finite element theory assumes a set of displacement functions that are nodally based and minimizes the potential energy with respcct to the nodal coordinates." "The method of this pa...

*Jan*

Remarks, Week 12/18/2020 Calculation speed increased 50% for calculating trial functions (Turns out more work need to be done for this part during the next two weeks). Automatically determine minimum polynomial order. Calculation speed increased >90% during calculation of residual...

*Dec*

Remarks MWR for plate bending, code clean up. Code can be found here Plate buckling research. Try solving buckling equation using MWR. (Result: Not how it works. So I need to try something else.) Details Dec 28, 2020 (Monday) MWR for plate bending, code clean up. Code can...

*Dec*

Remarks Solving trial function calculation problem. Visually reasonable results achieved with reasonable / faster calculation time. (The problem is when changing symbolic expression to double numerical value, numbers are cut to 17 digits, which is not accurate enough and cause more trouble. The...

*Dec*

Remarks Calculation speed increased 50% for calculating trial functions. Automatically determine minimum polynomial order. Calculation speed increased >90% during calculation of residual integral. The way to do this is by implementing a new integration method. The new method and th...

*Nov*

Method of Weighted Residuals + Galerkin Method "Reduce the continuous-system mathematical model to a discrete idealization." "In applied mathematics, methods of mean weighted residuals (MWR) are methods for solving differential equations. The solutions of these differential equations are assumed...