08 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...

06 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...

30 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...

24 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...

18 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...

18 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...