中文摘要：

利用非协调自适应有限元方法求解一类非线性退化凸极值问题．该方法遵循求解、估计、标注、加密四个步骤，给出了后验误差估计．数值算例验证了理论分析结果．

英文摘要：

A nonconforming adaptive finite element method is proposed for solving a class of degenerate convex problems. This method contains four steps： finding solution, estimating, marking, and refining. A posteriori error is obtained and the numerical experiment verifies the analysis.