Extra study features and modeling techniques are showcased, such as sweeping on a subset of the terminals. The capacitance matrix of a five-terminal system is computed and used to identify the position of a metallic object. Two new electrostatic tutorial models in the AC/DC Module Application Library explain how to extract lumped matrices by means of the new Stationary Source Sweep study step, while also showing the benefits of using BEM. New Tutorial Models: Capacitive Position Sensor (Boundary Elements and Finite Elements) The iterative method computes the residual with a hybrid matrix-based/matrix-free method, making optimal use of different sorts of fast matrix-vector products. The FEM part can rather freely be preconditioned as usual while the BEM part can be used with one of the aforementioned preconditioners for the near-field matrix. It is possible, for example, to use an efficient iterative solver with a hybrid preconditioner. This makes it possible to use a separate preconditioner/smoother for the individual FEM and BEM parts of the matrix. Hybrid BEM/FEM models can be used where the matrix storage is the optimal sparse format for the FEM part and a dense or matrix-free format for the BEM part. Sometimes, multiphysics problems can be solved with one numerical method, but are optimally solved using different numerical methods - the boundary element method (BEM) and finite element method (FEM) - for the different physics. The model now uses the Stationary Source Sweep study step, which provides a far faster solution.Īpplication Library path for an example using the Stationary Source Sweep study step: ACDC_Module/Applications/touchscreen_simulator Solver Support for Hybrid BEM/FEM Problems The image shows the underlying model used to build the Touchscreen Simulator app. The position and orientation of the finger are controlled via input parameters and the resulting capacitance matrix is evaluated. The Touchscreen Simulator application in the AC/DC Module Application Library computes the capacitance matrix of a touchscreen in the presence of a human finger, represented by a phantom. As an example, you could use a combination of the two interfaces to include the effects of an infinite space instead of using the Infinite Element Domain feature. The Electrostatics, Boundary Elements interface can also be combined with the finite-element-based Electrostatics interface, using the Boundary Electric Potential Coupling multiphysics node. Note that the electric potential distribution on the boundaries must be explicitly defined, so you need constant material data within the domains. This new interface can be used as an alternative to the Electrostatics interface for computing the potential distribution in dielectrics, and is particularly convenient for structures that are difficult to mesh. The physics interface, available in 2D and 3D, solves Laplace's equation for the electric potential using the scalar electric potential as the dependent variable. The formulation is based on the boundary element method (BEM). The new Electrostatics, Boundary Elements interface has been developed for building and running models that are not well suited for the finite element method (FEM). New Physics Interface: Electrostatics, Boundary Elements Review all of the AC/DC Module updates in more detail below. For users of the AC/DC Module, COMSOL Multiphysics ® version 5.3 brings a new Electrostatics, Boundary Elements physics interface, a new Stationary Source Sweep study step, and several new tutorial models.
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