The paper discusses how to reduce higher singularity order of a boundary integral equation. The approach will be discussed in some detail for plane elasticity.Numerical results for the meshes of unequal length boundar...The paper discusses how to reduce higher singularity order of a boundary integral equation. The approach will be discussed in some detail for plane elasticity.Numerical results for the meshes of unequal length boundary elements are reported.Higher precision for both deflection and force is obtained than that obtained with a general boundary element method.展开更多
In this paper, we state and prove the conditions for the non-singularity of the <em>D</em> matrix used in deriving the continuous form of the Two-step Butcher’s hybrid scheme and from it the discrete form...In this paper, we state and prove the conditions for the non-singularity of the <em>D</em> matrix used in deriving the continuous form of the Two-step Butcher’s hybrid scheme and from it the discrete forms are deduced. We also show that the discrete scheme gives outstanding results for the solution of stiff and non-stiff initial value problems than the 5<sup>th</sup> order Butcher’s algorithm in predictor-corrector form.展开更多
基金The project supported by National Natural Science Foundation of China.
文摘The paper discusses how to reduce higher singularity order of a boundary integral equation. The approach will be discussed in some detail for plane elasticity.Numerical results for the meshes of unequal length boundary elements are reported.Higher precision for both deflection and force is obtained than that obtained with a general boundary element method.
文摘In this paper, we state and prove the conditions for the non-singularity of the <em>D</em> matrix used in deriving the continuous form of the Two-step Butcher’s hybrid scheme and from it the discrete forms are deduced. We also show that the discrete scheme gives outstanding results for the solution of stiff and non-stiff initial value problems than the 5<sup>th</sup> order Butcher’s algorithm in predictor-corrector form.
