Delayed Residual Compensation for Bidomain Equations

  • The biodomain model of cardioelectric excitation consists of a reaction‐diffusion equation, an elliptic algebraic constraint, and a set of pointwise ODEs. Fast reaction enforces small time steps, such that for common mesh sizes the reaction‐diffusion equation is easily solved implicitly due to a dominating mass matrix. In contrast, the elliptic constraint does not benefit from small time steps and requires a comparably expensive solution. We propose a delayed residual compensation that improves the solution of the elliptic constraint and thus alleviates the need for long iteration times.
Author:Martin WeiserORCiD
Document Type:In Collection
Parent Title (English):AIP Conference Proceedings
First Page:419
Last Page:422
Year of first publication:2010