HeartSimSage: Attention-Enhanced Graph Neural Networks for Accelerating Cardiac Mechanics Modeling [0.03%]
基于注意力增强图神经网络的心脏力学模型加速方法
Lei Shi,Yurui Chen,Vijay Vedula
Lei Shi
Finite element analysis (FEA) is a powerful tool that forms the cornerstone of modeling cardiac biomechanics. However, FEA is computationally expensive for creating digital twins, which typically involves performing tens or hundreds of FEA ...
Composite B-spline regularized delta functions for the immersed boundary method: Divergence-free interpolation and gradient-preserving force spreading [0.03%]
复合B样条正则化delta函数在浸没边界法中的应用：无散度插值和梯度保持力扩散
Cole Gruninger,Boyce E Griffith
Cole Gruninger
This paper presents an approach to enhance volume conservation in the immersed boundary (IB) method by employing regularized delta functions derived from composite B-splines. These delta functions are constructed using tensor product kernel...
Improving the robustness of the immersed interface method through regularized velocity reconstruction [0.03%]
通过正则化速度重构提高浸入界面法的鲁棒性
Qi Sun,Ebrahim M Kolahdouz,Boyce E Griffith
Qi Sun
Robust, broadly applicable fluid-structure interaction (FSI) algorithms remain a challenge for computational mechanics. Efforts in this area are driven by the need to enhance predictive accuracy and efficiency in FSI simulations, align with...
Laplacian Eigenfunction-Based Neural Operator for Learning Nonlinear Reaction-Diffusion Dynamics [0.03%]
基于拉普拉斯特征函数的神经算子，用于学习非线性反应-扩散动力学
Jindong Wang,Wenrui Hao
Jindong Wang
Learning reaction-diffusion equations has become increasingly important across scientific and engineering disciplines, including fluid dynamics, materials science, and biological systems. In this work, we propose the Laplacian Eigenfunction...
An efficient adaptive algorithm for photon-electron coupled Boltzmann equation in radiation therapy [0.03%]
一种高效的光子-电子耦合 boltzmann 输运方程的自适应算法用于辐射治疗中的剂量计算研究
Xilin Zhang,Peiming Yin,Xue Hong et al.
Xilin Zhang et al.
In this paper, we propose an efficient adaptive algorithm for the photon-electron coupled Boltzmann equations in radiation therapy. The algorithm employs adaptive mesh technologies for both angular and spatial discretization and effectively...
On generalizing the induced surface charge method to heterogeneous Poisson-Boltzmann models for electrostatic free energy calculation [0.03%]
广义诱导表面电荷法在异构Poisson-Boltzmann模型静电自由能计算中的应用
Idowu Ijaodoro,Yuanzhen Shao,Emil Alexov et al.
Idowu Ijaodoro et al.
The induced surface charges (ISC) method, which computes the induced charges on the molecular surface of macromolecules and uses them via Coulomb's law to calculate the polar solvation energy, was shown to be a robust and almost grid indepe...
A boundary integral method for simulating the dynamics of inextensible vesicles suspended in a viscous fluid in 2D [0.03%]
二维粘性流体中不可伸长的封闭膜的边界积分模拟方法研究
Shravan K Veerapaneni,Denis Gueyffier,Denis Zorin et al.
Shravan K Veerapaneni et al.
We present a new method for the evolution of inextensible vesicles immersed in a Stokesian fluid. We use a boundary integral formulation for the fluid that results in a set of nonlinear integro-differential equations for the vesicle dynamic...
Efficient multifidelity likelihood-free Bayesian inference with adaptive computational resource allocation [0.03%]
基于自适应计算资源分配的高效多保真度无似然贝叶斯推理方法
Thomas P Prescott,David J Warne,Ruth E Baker
Thomas P Prescott
Likelihood-free Bayesian inference algorithms are popular methods for inferring the parameters of complex stochastic models with intractable likelihoods. These algorithms characteristically rely heavily on repeated model simulations. Howeve...
An immersed peridynamics model of fluid-structure interaction accounting for material damage and failure [0.03%]
一种考虑材料损伤和破坏的流固耦合浸没渐变力学模型
Keon Ho Kim,Amneet P S Bhalla,Boyce E Griffith
Keon Ho Kim
This paper develops and benchmarks an immersed peridynamics method to simulate the deformation, damage, and failure of hyperelastic materials within a fluid-structure interaction framework. The immersed peridynamics method describes an inco...
Stability and Robustness of Time-discretization Schemes for the Allen-Cahn Equation via Bifurcation and Perturbation Analysis [0.03%]
Allen-Cahn方程的分岔与摄动分析及其时间离散格式的稳定性和鲁棒性研究
Wenrui Hao,Sun Lee,Xiaofeng Xu et al.
Wenrui Hao et al.
The Allen-Cahn equation is a fundamental model for phase transitions, offering critical insights into the dynamics of interface evolution in various physical systems. This paper investigates the stability and robustness of frequently utiliz...