It is a very difficult problem because of the complex structure of the earth's interior. It approximates real geology by a more or less simple model and tries to determine the model parameters from the data. The problem is called as an inverse problem. The success of geophysical ...
Two classical stiff chemical kinetic problems, ROBER and POLLU, were successfully solved. Wang et al. [53] designed hard constraints on IC for PINN to solve the ROBER problem, while De Florio et al. [54] applied the extreme theory of functional connections (X-TFC) to solve four stiff ...
The remainder of this article is structured as follows: “Problem formulation” section summarizes the fundamental equations and constraints of contact mechanics with small deformation elasticity. Also, the basics of the so-called mixed-variable formulation based on the Hellinger–Reissner principle are g...
forward probleminverse problemEEGMEGEITanalytical solutionnumerical methodsForward problems show up when information is extracted from recorded data, which cannot be assessed directly. An example is the epi-cardial potential distribution in a healthy volunteer. This article presents a short and qualitative...
For coercive and maximal monotone graphs, the existence of a solution to the quasi-static viscoelastic problem is proven by applying the Browder-Minty fixed point theorem. Moreover, for quasi-linear viscoelastic problems, the solution is constructed as a semi-analytic formula. The inverse ...
网络释义 1. 正演问题 石油词汇英语翻译(EF) ... forward price 期货价格forward problem正演问题forward rate constant 正反应常数 ... www.zftrans.com|基于15个网页 2. 正问题 ...知的参数,利用数学模型预测地下水流的未来状况,称为正问题(forward problem);而将观测到的数据代入模型来反求参数, … ...
matlab animate_sph_harm.m -- create animations of spherical harmonics Rscript interp_vs_reg.R -- plot the difference between linear interpolation and regression Rscript plot_nearly-even-spacing.R -- show the result of the linear transport problem on finding nearly-evenly spaced pointsAbout...
The forward problem is solved by starting from a given electrical source and calculating the potentials at the electrodes. These evaluations are necessary to solve the inverse problem which is defined as finding brain sources which are responsible for the measured potentials at the EEG electrodes. ...
Compared with the forward problem, we make more comparisons between the approximated solution and the exact solution at some interior points when constructing the loss function to improve the fitting ability of the inverse problem. The exact solutions are easy to find and can be readily obtained ...
Our results demonstrate that KINN significantly outperforms MLP regarding accuracy and convergence speed for numerous PDEs in computational solid mechanics, except for the complex geometry problem. This highlights KINN's potential for more efficient and accurate PDE solutions in AI for PDEs. PDF ...