Monopole: Acoustic Pressure Simulation in COMSOL Multiphysics

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Boundary Conditions and Basis Decomposition

Explores boundary conditions, basis functions, and PDE solutions using Fourier and Bessel series.

Recent Advances in the Dimer Model and Its Applications

Covers recent advancements in the dimer model, emphasizing its applications in probability and conformal field theory.

Boundary Conditions - 1D Systems

Covers boundary conditions for heat diffusion in 1D systems.

Square Potential Well

Covers the concept of a square potential well and the search for solutions using trigonometric functions.

Partial Differential Equations: Laplace Equation

Explains the Laplace equation in 2D with mixed boundary conditions.

Mechanics of Kirchhoff Rods II

Explores the mechanics of Kirchhoff rods, focusing on kinematics, twisted solutions, and recent developments in rod mechanics.

Computation, Verification and Validation

Emphasizes the impact of boundary conditions on solution convergence in numerical flow simulation and discusses the choice between pressure-based and density-based solvers.

Thermal Diffusion: Conservation and Fourier Law

Explains conservation of energy and Fourier's law in thermal diffusion.

Heterogeneous Reactions: Transport Effects

Explores transport effects in heterogeneous catalysis, including molecular diffusion and Knudsen diffusion in different types of pores.

Linear Statics of Deformable Solids

Introduces linear statics for linear elastic solids in small deformations, stress equilibrium, the Virtual Work Principle, and the Finite Element Method.