会议主题（Theme）

本次会议以“非线性偏微分方程的高效有限元方法”为主题，针对科学与工程计算中的非线性偏微分方程，研究其高精度有限元方法。会议拟邀请50位国内外相关领域中的杰出学者，开展学术报告和交流合作。此次会议将极大增进非线性问题数值解法的前沿研究和发展趋势的交流与讨论，为青年学者开拓学术视野，创造合作机遇。

The theme of this meeting is "Advanced Finite Element Methods for Nonlinear PDEs", focusing on high-precision finite element methods for nonlinear partial differential equations in scientific and engineering calculations. The conference plans to invite 50 outstanding scholars from relevant fields both domestically and internationally to conduct academic presentations, exchange and cooperation. This conference will greatly enhance the exchange and discussion of cutting-edge research and development trends in numerical solutions for nonlinear problems, broaden academic horizons for young scholars, and create opportunities for cooperation.

举办意义(Description of the aim)

非线性偏微分方程的数值求解是一个既有广泛工程应用背景，又具有挑战性的困难课题。连续力学中变分形式的强非线性问题，协调有限元离散可以把原问题归结为极小值的数值计算问题，而对于一般的非变分形式的强非线性偏微分方程，如 HJB 方程，离散过程并不是那么简单。本次会议主旨是把变分计算专家和非变分形式微分方程数值解学者聚集起来，针对非线性问题的数值求解展开合作研究和讨论。本次会议的议题涉及非线性问题数值解法的前沿研究，具有重要的实际意义。

The numerical solution of Nonlinear partial differential equation is a difficult subject with both extensive engineering applications and challenges. For the strongly nonlinear problems in the variational form of continuous mechanics, the original problem can be reduced to the numerical calculation problem of the minimum by the coordinated finite element discretization, while for the strongly nonlinear partial differential equations in the general non variational form, such as the HJB equation, the discretization process is not so simple. The main purpose of this meeting is to gather experts in variational computation and numerical solvers of non variational form differential equations to conduct collaborative research and discussion on numerical solutions for nonlinear problems. The topic of this meeting involves cutting-edge research on numerical solutions for nonlinear problems, which has important practical significance.