@article{oai:nagoya.repo.nii.ac.jp:00019098, author = {Murai, Daisuke and Azegami, Hideyuki}, journal = {JSIAM Letters}, month = {}, note = {We present an error estimation for the H1 gradient method, which provides numerical solutions to the shape-optimization problem of the domain in which a boundary value problem is defined. The main result is that if second-order elements are used for the solutions of the main and adjoint boundary value problems to evaluate the shape derivative, and the first-order elements are used for the solution of domain variation in the boundary value problem of the H1 gradient method, then we obtain first-order convergence of the solution of the domain variation with respect to the size of the finite elements.}, pages = {29--32}, title = {Error analysis of the H1 gradient method for shape-optimization problems of continua}, volume = {5}, year = {2013} }