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Geometric algebra generation of molecular surfaces
Azzam Alfarraj, Guo-Wei Wei
Geometric algebra is a powerful framework that unifies mathematics and physics. Since its revival in the middle of the 1960s by David Hestenes, it attracts great attention and has…
Variational Methods for Biomolecular Modeling
Guo-Wei Wei, Y. C. Zhou
Structure, function and dynamics of many biomolecular systems can be characterized by the energetic variational principle and the corresponding systems of partial differential equa…
Accurate, robust and reliable calculations of Poisson-Boltzmann solvation energies
Bao Wang, Guowei Wei
Developing accurate solvers for the Poisson Boltzmann (PB) model is the first step to make the PB model suitable for implicit solvent simulation. Reducing the grid size influence o…
Finite Volume Formulation of the MIB Method for Elliptic Interface Problems
Yin Cao, Bao Wang, Kelin Xia +1
The matched interface and boundary (MIB) method has a proven ability for delivering the second order accuracy in handling elliptic interface problems with arbitrarily complex inter…
Second order Method for Solving 3D Elasticity Equations with Complex and Sharp Interfaces
Bao Wang, Kelin Xia, Guowei Wei
Elastic materials are ubiquitous in nature and indispensable components in man-made devices and equipments. When a device or equipment involves composite or multiple elastic materi…
Matched Interface and Boundary Method for Elasticity Interface Problems
Bao Wang, Kelin Xia, Guo-Wei Wei
Elasticity theory is an important component of continuum mechanics and has had widely spread applications in science and engineering. Material interfaces are ubiquity in nature and…